The present paper investigates a fuzzy mathematical programming problem with a crisp objective function and a fuzzy set of indices of constraint functions with discrete fuzzy parameters. To formalize the set of feasible alternatives, the concept of intersection of fuzzy sets with a fuzzy set of operands is used. The result of this operation is a type-2 fuzzy set (T2FS). It is shown that the T2FS of feasible alternatives can be represented in the form of the collection of T2FSs with constant secondary grades. This approach allows us to define the notion of the weak solution T2FS. The concept of the solution T2FS (not weak) is also proposed. The primary domain of this T2FS is defined as the set of alternatives which together with the corresponding primary degrees of membership form the set of Pareto-optimal pairs to the four-criteria problem. In this problem, the degree of truth of the primary zero degree of membership (which characterizes the infeasibility of the alternative) is minimized in addition to the maximization of the objective function and the degrees (primary and secondary) of membership to the solution T2FS. The notion of a compromise maximizing alternative is given. Several results which enable us to simplify reasoning are obtained. Illustrative examples are given.